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- Title
Sets Related to Openness and Continuity Decompositions in Primal Topological Spaces.
- Authors
Al-Saadi, Hanan; Al-Hodieb, Muna
- Abstract
This paper introduces and investigates several new classes of sets called P-α-open sets, P-semiopen sets, P-preopen sets, and P-β-open sets within the framework of primal topological spaces. Their properties and relationships with other open set generalizations are studied through examples. Additionally, the concepts of PR-sets and PRα -sets are defined and their characteristics examined. Also, the notions of P-α-continuous, P-semicontinuous, P-precontinuous and P-β-continuous mappings are initiated and their features and main characterizations determined. A new class of sets called Ψ P -sets is also introduced in primal topological spaces using the ΨP -operator. Their properties and relationships between Ψ P -sets, α-open, semi-open, and pre-open are investigated. Theorems on arbitrary unions and finite intersections of Ψe P are discussed.
- Subjects
NON-monogamous relationships; TOPOLOGICAL spaces
- Publication
European Journal of Pure & Applied Mathematics, 2024, Vol 17, Issue 2, p1352
- ISSN
1307-5543
- Publication type
Article
- DOI
10.29020/nybg.ejpam.v17i2.5171